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Finding the Fourth Proportional to 9.10, 12.51 and 8.53

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Solution

The fourth proportional to 9.10, 12.51 and 8.53 is: 11.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.10 : 12.51 = 8.53 : x
  2. Step 2: Convert to fraction form
    9.10/12.51 = 8.53/x
  3. Step 3: Cross multiply
    9.10x = 12.51 × 8.53
  4. Step 4: Simplify right side
    9.10x = 106.71
  5. Step 5: Solve for x
    x = 106.71/9.10
  6. Step 6: Final answer
    x = 11.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.